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Topic: Terminating Deciamal Expansion
Replies: 3   Last Post: Jan 19, 2013 2:06 PM

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Charles Hottel

Posts: 10
Registered: 9/5/11
Re: Terminating Deciamal Expansion
Posted: Jan 19, 2013 1:15 PM
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"Virgil" <> wrote in message
> In article <>,
> "Charles Hottel" <> wrote:

>> I would appreciate some hints on solving this problem:
>> Show that any rational number p/q, for which the prime factorization of q
>> consists entirely od 2s and 5s, has a terminating decimal expansion.
>> Thanks.

> If q = 2^m*5^n for non-negative integers m and n, let k = max(m,n)
> then r = (p/q)*10^k is an integer, so and p/q = r/10^k.
> --

Thanks I see it now.

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